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Super-Poincaré algebra Superalgebra di Poincaré
rdfs:comment
In theoretical physics, a super-Poincaré algebra is an extension of the Poincaré algebra to incorporate supersymmetry, a relation between bosons and fermions. They are examples of supersymmetry algebras (without central charges or internal symmetries), and are Lie superalgebras. Thus a super-Poincaré algebra is a Z2-graded vector space with a graded Lie bracket such that the even part is a Lie algebra containing the Poincaré algebra, and the odd part is built from spinors on which there is an anticommutation relation with values in the even part. In fisica teorica, la superalgebra di Poincaré (o algebra di super-Poincaré) estende l'algebra di Poincaré con l'aggiunta della supersimmetria, una relazione tra bosoni e fermioni. La più semplice estensione supersimmetrica dell'algebra di Poincaré contiene due spinori di Weyl che soddisfano alla seguente relazione di anti-commutazione: e tutte le relazioni di anti-commutatione fra le e le sono nulle. Dove i sono i generatori delle traslazioni, le sono le matrici di Pauli e le sono le supercariche ovvero sono i generatori di una trasformazione di supersimmetria.
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In fisica teorica, la superalgebra di Poincaré (o algebra di super-Poincaré) estende l'algebra di Poincaré con l'aggiunta della supersimmetria, una relazione tra bosoni e fermioni. La più semplice estensione supersimmetrica dell'algebra di Poincaré contiene due spinori di Weyl che soddisfano alla seguente relazione di anti-commutazione: e tutte le relazioni di anti-commutatione fra le e le sono nulle. Dove i sono i generatori delle traslazioni, le sono le matrici di Pauli e le sono le supercariche ovvero sono i generatori di una trasformazione di supersimmetria. In theoretical physics, a super-Poincaré algebra is an extension of the Poincaré algebra to incorporate supersymmetry, a relation between bosons and fermions. They are examples of supersymmetry algebras (without central charges or internal symmetries), and are Lie superalgebras. Thus a super-Poincaré algebra is a Z2-graded vector space with a graded Lie bracket such that the even part is a Lie algebra containing the Poincaré algebra, and the odd part is built from spinors on which there is an anticommutation relation with values in the even part.
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